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University of California, Berkeley

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Problem 53

Using the $\varepsilon$ -\delta Definition of Limit In Exercises $45-56$ , find the limit $L$ . Then use the $\varepsilon-\delta$ definition to prove that the limit is $L$ .

$$\lim _{x \rightarrow-5}|x-5|$$

Answer

$L=10,$ see explanation for proof

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## Discussion

## Video Transcript

Okay, so we have the limits of experts to make supplies. And that's, you know, we've exploited fight. What is that? It gives us five money fine with your legal tender after love. That, given absolute, is great, isn't it? You have that our functions. That's the Valium. It's fine. It's fine. You're gonna love it. Do you know the next room? So where he exploited size? You know, we have that you know, the negatives of X, that it is an excellent. That means that negative X minus client is a collection along with that minus five. The next one. So look what Stilton equal to one that we have that money dignified. You know, she was absolute. So I give them after a Valium negative. Expect. Right. Excellent. Look, it's negative. Explain, explain. But it's fun. It's been fun. You take after out of that. Excellent. Fine. My 10 is the next one. Whenever our this is because I decided to go, that is our function. Minus are limits to allow That is that the next one

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